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Finding the Fourth Proportional to 9,212.10, 13,807.35 and 4,827.30

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Solution

The fourth proportional to 9,212.10, 13,807.35 and 4,827.30 is: 7,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.10 : 13,807.35 = 4,827.30 : x
  2. Step 2: Convert to fraction form
    9,212.10/13,807.35 = 4,827.30/x
  3. Step 3: Cross multiply
    9,212.10x = 13,807.35 × 4,827.30
  4. Step 4: Simplify right side
    9,212.10x = 66,652,220.66
  5. Step 5: Solve for x
    x = 66,652,220.66/9,212.10
  6. Step 6: Final answer
    x = 7,235.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.